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The Intrinsic Bounds on the Risk Premium of Markovian Pricing Kernels

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  • Jihun Han
  • Hyungbin Park

Abstract

The risk premium is one of main concepts in mathematical finance. It is a measure of the trade-offs investors make between return and risk and is defined by the excess return relative to the risk-free interest rate that is earned from an asset per one unit of risk. The purpose of this article is to determine upper and lower bounds on the risk premium of an asset based on the market prices of options. One of the key assumptions to achieve this goal is that the market is Markovian. Under this assumption, we can transform the problem of finding the bounds into a second-order differential equation. We then obtain upper and lower bounds on the risk premium by analyzing the differential equation.

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  • Jihun Han & Hyungbin Park, 2014. "The Intrinsic Bounds on the Risk Premium of Markovian Pricing Kernels," Papers 1411.4606, arXiv.org, revised Sep 2015.
    • Handle: RePEc:arx:papers:1411.4606
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    References listed on IDEAS

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    Cited by:

    1. Hyungbin Park, 2015. "Sensitivity Analysis of Long-Term Cash Flows," Papers 1511.03744, arXiv.org, revised Sep 2018.

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